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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math.optimization.fitting;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import org.apache.commons.math.FunctionEvaluationException;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math.optimization.DifferentiableMultivariateVectorialOptimizer;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math.optimization.OptimizationException;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math.optimization.fitting.CurveFitter;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math.optimization.fitting.WeightedObservedPoint;<a name="line.24"></a>
<FONT color="green">025</FONT>    <a name="line.25"></a>
<FONT color="green">026</FONT>    /**<a name="line.26"></a>
<FONT color="green">027</FONT>     * Fits points to a Gaussian function (that is, a {@link GaussianFunction}).<a name="line.27"></a>
<FONT color="green">028</FONT>     * &lt;p&gt;<a name="line.28"></a>
<FONT color="green">029</FONT>     * Usage example:<a name="line.29"></a>
<FONT color="green">030</FONT>     * &lt;pre&gt;<a name="line.30"></a>
<FONT color="green">031</FONT>     *   GaussianFitter fitter = new GaussianFitter(<a name="line.31"></a>
<FONT color="green">032</FONT>     *     new LevenbergMarquardtOptimizer());<a name="line.32"></a>
<FONT color="green">033</FONT>     *   fitter.addObservedPoint(4.0254623,  531026.0);<a name="line.33"></a>
<FONT color="green">034</FONT>     *   fitter.addObservedPoint(4.03128248, 984167.0);<a name="line.34"></a>
<FONT color="green">035</FONT>     *   fitter.addObservedPoint(4.03839603, 1887233.0);<a name="line.35"></a>
<FONT color="green">036</FONT>     *   fitter.addObservedPoint(4.04421621, 2687152.0);<a name="line.36"></a>
<FONT color="green">037</FONT>     *   fitter.addObservedPoint(4.05132976, 3461228.0);<a name="line.37"></a>
<FONT color="green">038</FONT>     *   fitter.addObservedPoint(4.05326982, 3580526.0);<a name="line.38"></a>
<FONT color="green">039</FONT>     *   fitter.addObservedPoint(4.05779662, 3439750.0);<a name="line.39"></a>
<FONT color="green">040</FONT>     *   fitter.addObservedPoint(4.0636168,  2877648.0);<a name="line.40"></a>
<FONT color="green">041</FONT>     *   fitter.addObservedPoint(4.06943698, 2175960.0);<a name="line.41"></a>
<FONT color="green">042</FONT>     *   fitter.addObservedPoint(4.07525716, 1447024.0);<a name="line.42"></a>
<FONT color="green">043</FONT>     *   fitter.addObservedPoint(4.08237071, 717104.0);<a name="line.43"></a>
<FONT color="green">044</FONT>     *   fitter.addObservedPoint(4.08366408, 620014.0);<a name="line.44"></a>
<FONT color="green">045</FONT>     *  GaussianFunction fitFunction = fitter.fit();<a name="line.45"></a>
<FONT color="green">046</FONT>     * &lt;/pre&gt;<a name="line.46"></a>
<FONT color="green">047</FONT>     *<a name="line.47"></a>
<FONT color="green">048</FONT>     * @see ParametricGaussianFunction<a name="line.48"></a>
<FONT color="green">049</FONT>     * @since 2.2<a name="line.49"></a>
<FONT color="green">050</FONT>     * @version $Revision: 1073158 $ $Date: 2011-02-21 22:46:52 +0100 (lun. 21 f??vr. 2011) $<a name="line.50"></a>
<FONT color="green">051</FONT>     */<a name="line.51"></a>
<FONT color="green">052</FONT>    public class GaussianFitter {<a name="line.52"></a>
<FONT color="green">053</FONT>    <a name="line.53"></a>
<FONT color="green">054</FONT>        /** Fitter used for fitting. */<a name="line.54"></a>
<FONT color="green">055</FONT>        private final CurveFitter fitter;<a name="line.55"></a>
<FONT color="green">056</FONT>    <a name="line.56"></a>
<FONT color="green">057</FONT>        /**<a name="line.57"></a>
<FONT color="green">058</FONT>         * Constructs an instance using the specified optimizer.<a name="line.58"></a>
<FONT color="green">059</FONT>         *<a name="line.59"></a>
<FONT color="green">060</FONT>         * @param optimizer optimizer to use for the fitting<a name="line.60"></a>
<FONT color="green">061</FONT>         */<a name="line.61"></a>
<FONT color="green">062</FONT>        public GaussianFitter(DifferentiableMultivariateVectorialOptimizer optimizer) {<a name="line.62"></a>
<FONT color="green">063</FONT>            fitter = new CurveFitter(optimizer);<a name="line.63"></a>
<FONT color="green">064</FONT>        }<a name="line.64"></a>
<FONT color="green">065</FONT>    <a name="line.65"></a>
<FONT color="green">066</FONT>        /**<a name="line.66"></a>
<FONT color="green">067</FONT>         * Adds point (&lt;code&gt;x&lt;/code&gt;, &lt;code&gt;y&lt;/code&gt;) to list of observed points<a name="line.67"></a>
<FONT color="green">068</FONT>         * with a weight of 1.0.<a name="line.68"></a>
<FONT color="green">069</FONT>         *<a name="line.69"></a>
<FONT color="green">070</FONT>         * @param x &lt;tt&gt;x&lt;/tt&gt; point value<a name="line.70"></a>
<FONT color="green">071</FONT>         * @param y &lt;tt&gt;y&lt;/tt&gt; point value<a name="line.71"></a>
<FONT color="green">072</FONT>         */<a name="line.72"></a>
<FONT color="green">073</FONT>        public void addObservedPoint(double x, double y) {<a name="line.73"></a>
<FONT color="green">074</FONT>            addObservedPoint(1.0, x, y);<a name="line.74"></a>
<FONT color="green">075</FONT>        }<a name="line.75"></a>
<FONT color="green">076</FONT>    <a name="line.76"></a>
<FONT color="green">077</FONT>        /**<a name="line.77"></a>
<FONT color="green">078</FONT>         * Adds point (&lt;code&gt;x&lt;/code&gt;, &lt;code&gt;y&lt;/code&gt;) to list of observed points<a name="line.78"></a>
<FONT color="green">079</FONT>         * with a weight of &lt;code&gt;weight&lt;/code&gt;.<a name="line.79"></a>
<FONT color="green">080</FONT>         *<a name="line.80"></a>
<FONT color="green">081</FONT>         * @param weight weight assigned to point<a name="line.81"></a>
<FONT color="green">082</FONT>         * @param x &lt;tt&gt;x&lt;/tt&gt; point value<a name="line.82"></a>
<FONT color="green">083</FONT>         * @param y &lt;tt&gt;y&lt;/tt&gt; point value<a name="line.83"></a>
<FONT color="green">084</FONT>         */<a name="line.84"></a>
<FONT color="green">085</FONT>        public void addObservedPoint(double weight, double x, double y) {<a name="line.85"></a>
<FONT color="green">086</FONT>            fitter.addObservedPoint(weight, x, y);<a name="line.86"></a>
<FONT color="green">087</FONT>        }<a name="line.87"></a>
<FONT color="green">088</FONT>    <a name="line.88"></a>
<FONT color="green">089</FONT>        /**<a name="line.89"></a>
<FONT color="green">090</FONT>         * Fits Gaussian function to the observed points.<a name="line.90"></a>
<FONT color="green">091</FONT>         *<a name="line.91"></a>
<FONT color="green">092</FONT>         * @return Gaussian function best fitting the observed points<a name="line.92"></a>
<FONT color="green">093</FONT>         *<a name="line.93"></a>
<FONT color="green">094</FONT>         * @throws FunctionEvaluationException if &lt;code&gt;CurveFitter.fit&lt;/code&gt; throws it<a name="line.94"></a>
<FONT color="green">095</FONT>         * @throws OptimizationException if &lt;code&gt;CurveFitter.fit&lt;/code&gt; throws it<a name="line.95"></a>
<FONT color="green">096</FONT>         * @throws IllegalArgumentException if &lt;code&gt;CurveFitter.fit&lt;/code&gt; throws it<a name="line.96"></a>
<FONT color="green">097</FONT>         *<a name="line.97"></a>
<FONT color="green">098</FONT>         * @see CurveFitter<a name="line.98"></a>
<FONT color="green">099</FONT>         */<a name="line.99"></a>
<FONT color="green">100</FONT>        public GaussianFunction fit() throws FunctionEvaluationException, OptimizationException {<a name="line.100"></a>
<FONT color="green">101</FONT>            return new GaussianFunction(fitter.fit(new ParametricGaussianFunction(),<a name="line.101"></a>
<FONT color="green">102</FONT>                                                   createParametersGuesser(fitter.getObservations()).guess()));<a name="line.102"></a>
<FONT color="green">103</FONT>        }<a name="line.103"></a>
<FONT color="green">104</FONT>    <a name="line.104"></a>
<FONT color="green">105</FONT>        /**<a name="line.105"></a>
<FONT color="green">106</FONT>         * Factory method to create a &lt;code&gt;GaussianParametersGuesser&lt;/code&gt;<a name="line.106"></a>
<FONT color="green">107</FONT>         * instance initialized with the specified observations.<a name="line.107"></a>
<FONT color="green">108</FONT>         *<a name="line.108"></a>
<FONT color="green">109</FONT>         * @param observations points used to initialize the created<a name="line.109"></a>
<FONT color="green">110</FONT>         *        &lt;code&gt;GaussianParametersGuesser&lt;/code&gt; instance<a name="line.110"></a>
<FONT color="green">111</FONT>         *<a name="line.111"></a>
<FONT color="green">112</FONT>         * @return new &lt;code&gt;GaussianParametersGuesser&lt;/code&gt; instance<a name="line.112"></a>
<FONT color="green">113</FONT>         */<a name="line.113"></a>
<FONT color="green">114</FONT>        protected GaussianParametersGuesser createParametersGuesser(WeightedObservedPoint[] observations) {<a name="line.114"></a>
<FONT color="green">115</FONT>            return new GaussianParametersGuesser(observations);<a name="line.115"></a>
<FONT color="green">116</FONT>        }<a name="line.116"></a>
<FONT color="green">117</FONT>    }<a name="line.117"></a>




























































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